Abstract
In this paper a new definition for probabilistic inner product spaces is given. By virtue of this definition, some convergence theorems, Schwarz inequality and the orthogonal concept for probabilistic inner product spaces are established and introduced. Moreover, the relationship between this kind of spaces and probabilistic normed spaces is considered also.
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Projects Supported by the Science Fund of the Chinese Academy of Sciences.
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Shi-sheng, Z. On the probabilistic inner product spaces. Appl Math Mech 7, 1035–1042 (1986). https://doi.org/10.1007/BF01897206
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DOI: https://doi.org/10.1007/BF01897206